Given two functions, we can combine them in such a way so that the outputs of one function become the inputs of the other. This action defines a composite function.
// M composed with C
M ∘ C
M(C(a)) = (M ∘ C)(a)
// Find M composed with C
M(c) = 7c + 5;
C(a) = 10 - a;
// Ways to Compose
// Substitute C(a) for c in M(c)
M(C(a)) = 7(C(a)) + 5
= 7(10 - a) + 5
= 75 - 7a <--
// Evaluate inner function, substitute result into outer function
M(C(2))
C(2) = 10 - 2 = 8
M(8) = 7(8) + 5 = 61 <--